{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "x = np.linspace(0.0, 5.0)\n",
    "y1 = np.sin(np.pi*x)\n",
    "y2 = np.sin(np.pi*x*2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x10f110860>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.plot(x, y1, 'b--', label='sin(pi*x)')\n",
    "plt.ylabel('y1 value')\n",
    "plt.plot(x, y2, 'r--', label='sin(pi*2x)')\n",
    "plt.ylabel('y2 value')\n",
    "plt.xlabel('x value')\n",
    "plt.title('this is x-y value')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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hqPz0k880MyExc6YopssDiYlSU90js/LChTIhtUxCAWnWTKtAASTzx/79Chra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\nQqEL/w+DgG3z6lIIHQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f0796d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x112eeb390>]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.subplot(221)\n",
    "plt.plot(x, y1, 'b--')\n",
    "plt.ylabel('y1')\n",
    "plt.subplot(222)\n",
    "plt.plot(x, y2, 'r--')\n",
    "plt.ylabel('y2')\n",
    "plt.xlabel('x')\n",
    "plt.subplot(223)\n",
    "plt.plot(x, y1, 'r*')\n",
    "plt.subplot(224)\n",
    "plt.plot(x, y1, 'b*')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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fwsNSyk0x/mdjB+pg8/LL1sytqvzyC1BQ4F5IZiRffgnccAO17xRGhrIbJTli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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112cdba58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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kVWpn19ZyPIH5cEyDm01xDWXX3kQwgmgiiapSR1avU0MuhMAHoDXl7xb5sZsQ\nQjwmhOgSQnTV1taue5N9DRX4b79x1LSK4rUoLqirY+a7h3LpOgGA9mo3yl22nKTICiHQ4wvgYFNu\nRA4A/sNHDuBjt7aY3Ywh4xoAHjzchH91186sO9CgIaCabQGUQpXbAZuG6uKVquJsXUMa9zea0uD2\nAuQ6CY3WTrbWVanThnKnTUN72dcsqCUXQnAGwG4i6iQiB4BHADyTg3Z1kcvdLJUJORfBVEByK0iu\nL/NFbiIYwexiNCexnRyT93GtbDORjd9YSwEUIFcXa9geejIYQaXbDqctO2tQa52EVougrtyF6dBy\nVtXF2Wx3va69CmfWMZCJYETeLdV4y9p0IRBCxAF8GcDzAK4B+AchxBWz29VLbbkTDRWunLhPenxB\nNHtLTDH5NuJgkwfXxoOIm7wltbKdhdEH7eSbQhjX9RUuLMeTWdW7rAiBlslSQwB3KpR9PEJqK/vq\n4ngiiVkNqaqAJKpJIdXzqCWbA3DW0uBxZZ01NBHIrvo8G9RXlOhACPEsgGdz0ZaRHGrJTZpljy+A\ngzmKDygcavFgOZ5E3/QC9jWY13aPLwCrhbC/Mbf3lwvyPa5Td7L0utUtIpSJVcsqtr7ciaHZ7PZx\n0pJVA0gb3VGW1cWzi1EkBVCrSXhWYyBq+6vVugIkIX5rYC6r12Rz7kG2FEywuBBRAsZmFn4oZxTn\nKmNI4cBKwNhc99Dl0QB215XlJFBcbDR4pMk8m8yhyaB0RKWW70NLkZe0AVz2omOzWqTq4iwsglVr\nR4tFkL0rajK4DLuVUOnOPuVbsa6yOVp1IhgxzSJgIdiEQy0eCAFcMdEquDYupXDm2ofeWVMKt8Nq\nqutLCIFuX2DlHATGWBpkiyAbF4OWdEeFunIn/OGY6g0Lk0mBaQ0FV6ntZTMxa01VVdoCsquTmAhI\np7xpKXBtqHAilhCYD6vb6C6mbKaXRdFhNrAQbEIuipNytX/SWqwWMr1WYiwQwdxiNGfZUMVGXbkT\nRNkKgbZgKpD9gTFz4SjiSaGrvawsgpDiqsleeGpXhED9ZzkWiKCxQlsW46oFou7+pkPKuQfGH2EL\nsBBsSk2ZE00el6lC0OMLoK7cmXV6nREcaPLgylhQ0z7sauiWD8A51JKb2o9iwy67T7IRAslnr3GF\nnuVGd6s+dD0WgXohmNJQVawgfZaOrIRnIhDJaluQVJSVvdrPUst+VNnAQpCBg80eU48/vDTqx5HW\n/EyUR1o9UYW0AAAgAElEQVQ9WIol0De1YMr7KxXF+3JQUVysNFS4VMcIVjeA0zaZNMk1PGMqhUeZ\nVGs1WgR1FS7MLi6rzmyb0lhVrFBbrn6rbSEEJgIRNHr1WVdqhcDMGgKAhSAjh1ukgHHQhArjwFIM\n/dOLOJonITgsr9QvjZhzdOXl0QD25KiiuFjJJg1xPhxFLCE0BVMBrJxxPOZXt6HflAEWgVRdrM6P\nPqXD7QUoh++o+yxnF6OIJpJo1DgxZ7vRnZbDhLKBhSADiu/+ignZNYp/Pl/B1M7qUpS7bLhkwhnG\nSqCY4wPm0uhRbxHoyXsHgHKXHeVOG8ZVC4G2qmKFbFfN4wHtgXBASunMfmLWFiNw2CRXlNrvbkLO\nUKpSmSacLSwEGVgNGBs/WV6UV+KHm/NjEVgs0hnGZgiBsvX0diskKzTqK1wILMVUHVm5ukWz9lVl\nk7dEtWtoMqStqlgh2yMrxwJLaNZxVkl9hROzC+pcUcoJY00aXUOAVM2s1hU1GYygrtwFSxYbE2YD\nC0EGqsucaPaWoNsEi+DSiB+dNaXwaMhDNoojLV5cHzf+DONcnFHMrLpr1Kws9bpqAKDR68J4QJ1F\noGWX01SysQgWl+Pwh2MrcQwt1Fa4pOpiFWcXK5+BHldNg0d9XYaewLQaWAhUcKjZs5IBYySXRwM4\nkucV8+EWL+JJgavjxgrd5dEA7FbCvkYOFJuJkkWiZnLWugFcKo2eEoz51QeL9bRVW+6EzUKq7k2J\nW+jZlLI+ixTS8UAEdiuhJosjKte1V+FUvQPppInFZAALgSoOtXgwaPAZxpPBCCaCkZWAbb5QAtVG\nB4yVM4q1ugUYdTRkkYY4GYygqtSh6ztp9rowtxhVZUFO6dwSwWohNHhcGJ3PLASjRghBFrn9EwHp\n3vS4aurKpayoTGcuCCEwoSPtVw0sBCo4ZMLRlcrEm6/UUYUGjwt15c6VzeGMIJnkQHGuUIRgXIXf\nPttD5NORur/RZiTkqmK97bVUlqgSghWLQFeMQNlvSI1FsLTiltNKg0c6cyFTgV5oOY5wNMEWQb5R\nJuvzQ8adDHRp1A+bXN2bb460eg21CPpnFhBYiuFYa6Vh78mkx+2wocJlU5VCKu3Vr28yUfLmM6WQ\nTgYjiCcFWirdutprqXTDp1IIbBbSlT5aUyZtdKfGIhgPRDRnDCnUqyzQU2I7HCPIM54SO/bUl+Gs\nkUIwIrlOCiHH/ohcK2GU6+vsoPQ53drOQpAL1NYS6NlnSKFJnvwyCcHwnLRLaVuVXiEowWQoguX4\n5q4o37y07082x32uxWa1oLo085GVQgiMByJo0jkxq3VFKXEEs4rJABYC1dzWXoXzw/NZ7Ra4Ecmk\nwOU8VhSvRemHURXU54bmUem2Y2dtqSHvx2xOg6ckY9ZQYmUDOP3uDCCza2hEFoLWKn2r5pZKN4QA\nxjMEqMf8EV0ZQwqNHlfG9Nj5sHTcp94VutqsKLO3lwBYCFTT1V6JUCSOtw3YjmFwdhHBSDzvGUMK\nSh2DUfUE54bmcVt7paZdGZnsaajIvN/Q7MIykkJfDQEAuOxW1JQ5MmbyjMyFYSHonpxbZJ9/pjiB\nz7+EFgOEoK3KjeHZxU2vUawhvTGCKrcDdmvm4z8n2TVUOHR1SG6Os0PZHSaRDiUwWygWgcdtR2dN\n6UqBmx5mF5bRP7OI29qrDOgZo4YGTwmmFzbPPlFWlXqDt4AUMPZlWKGPzC+h0VOied8fBSULaHR+\n4wNx4okkJoLGWATt1W6Mzi9tWlSmiG6jzhiBRY5pZHYNaT9DQnVfTHvnbUZblRs1ZU6cG9QfJzg9\nOIdypw276wonx/7WtkqcG9Lv+jonx1EU4WTMp1FF9olRPntAqqbNtM3E8FzYkLYaZb//ZhbBpHzW\nsBFC0FFdinhSbForMR5UhED/Cr2uIvOZCxMGxHYywUKgEiLCbe1eQwLGp96ZxfHOKl2BLaM5uaMK\nc4tR3JgK6Xqfc8PzsFuJU0dzyGpR2cYTysC05O7oqNYft2n0lKiKEeiNDwBSALehwrWpRWBE6qhC\nW7UkXoObuIfG5Qylag3bXa+locKlyjVkZqAYYCHIiq72KgzPhbM+wDuVyWAE/TOLOLmj2sCe6Ufp\nz6l3ZnW9z7nBeRxs9hRENlSxoKaobGBmEU0eF0oc+r+XJq8LC8vxDXfkjcQSmAotG2IRAFKcwLeJ\nBbJaVax/slSEcmhuY+FRismMWMhJbrYlCLGxJT4RMLeqGGAhyIrbZHeHnnqCU/3SRFtoQtBa5Uaz\ntwSn+rXHQJbjCVz2BdDFaaM5RY1F0D+ziE6DsrgaM6SQKqv3VsOEwL2pa0h5zgjXUF25E06bBUMz\nm1gEgYghbiEA2FFbinA0seF3F5ePqDQzUAywEGTFwSYPnDbLSp68Fk71z6HcZcP+AigkW8u7dlbj\nrYFZzXGCHl8Q0XiSA8U5xuu2w2mzbGgRCCHQP72AzhpjhECZcDdK6RyeM1oIpPTYaDx9AHfMv4RK\ntx1uh013WxYLob3avblFEDRuA7hddWUAsOHhUFMhKduLXUMFhMNmwZEWfXGCU/2zOFFg8QGFkzuq\nMR+OoXdSW5zgnJxRdRtbBDmFSNqTZ6NV5Xw4hmAkjs6aMkPaU7ZeHtsghXR4VhYCnVXFCs2VJVIt\nwQbt+fz6tp9eS1tVKYY2iBEIITDmXzLE+gAyC4GSrr6z1pjvbiNYCLLk1vZKXBkLaNq2eSIQwUAB\nxgcUTu6QVvKK+ypbzg7Oo73anZfzl4udhgoXJjaYKAdmpMlkh0EWQV255B/fyDU0Mr+EErnewAgy\n1RKM+ZdWKp6NoKPajeG5cFrL2B+OYTmeNMxnX13qgNdtR990eiG4MSEtyvaafNwrC0GWnNxRhVhC\n4E0Nk+VbA4UZH1BoqXSjtapEkxBE40m82T+Lk52FeW/bnc6aUrw9tZA26NgvZwwZ5RqyWggNFa5N\nXUOtVSWGFRQqlkW6zCEhBHzzxloE7dVuRGLJtAfijAeMSx0FJGtuV23ZhhbB9YkQasudqCo152Qy\nBRaCLDm5oxpuhxUvXp3M+rWn+mdR4bLhlsbCiw8onOysxlsDc1nHCc4MziEUiePeW+pM6hmzGQea\nPfCHY2m3RxiYWYTNQisrayOQtmLYwCIwqIZAocHjgoWQdvO54FIci9GEru2n19KuZA6lcQ8p7qlG\nA9vbVVeGdzYQgt7JIPaZbA0ALARZ47Jb8d7dtfjFtalNU77S8eY7szjeWV2Q8QGFkzuq4Q/HcH0i\nuzjBi9cm4bRZcOfuGpN6xmyGsottuq3SB2YW0Vbthk1nlW8qjd70tQRCCIzMhXXvOpqK3WpBoyf9\ndtRKWqlRPnsgJYV0dr0FosTP2g0Uup21ZZhdjGJ+zcloiaTA25ML2FPPQlCQ/Nr+ekwEI7gypv5U\nr4lABIOz4RU/fKFycqfk2snG9SWEwIvXJnHnrhpDMjeY7LmloQIWQtoxOTCziE4DCslSafJIrqG1\nluN8OIbFaMJQiwCQAsabCYGRFkGT1wWbhTA0t94iuDjsR0e1G5UGumpWAsZr4gRDs4tYjidNjw8A\nLASauGdvLYiAF7JwD71wTbq20FfMzd4S7KgtxS+uqb+3G5MLGJlbwr231JvYM2YzShxW7Kgtw9Wx\nmy2CZFJIQmBQfEBhV10ZoonkusnL6NRRhRZvSdoYwZgJFoHNakFLZQkG11gEQghcHPHjWJuxWXEb\nZQ7dkK0Pdg0VKNVlTtzWVolfXFc/WT59wYe99eXYmwMzTy8fOdKEN/tnVR9S/qIsGhwfyC8HmirW\nWQTjwQiW40nDiskUTshJAW+tsRxHDNzTKJWNaglG58Nw2CyGZSgptFWXrqTBKowHIpgKLa8c72oU\nzd4SuOyWdUJwfSIEIuRkTzIWAo3ce0s9enxBVZPl0Owizg3N4+Fbm7fE1swPH2uGEMBPLo6puv7F\na5M43OIxveiF2ZyDTR6MByKYXVjNdhkwOGNIobWqBI0eF04N3FyJrlgERgampfdzIymwbrvt04Pz\n2N9YYfjvqqPajcHZxZvigMruvEYLgcVC2FGzPnOodyKE9iq3IduCZOyD6S1sU96/X1r9/uLaVMZr\nn74wBiJppb0VaK8uxa1tXjx9wZfx2unQMi6O+PFr7BbKO0rAONUqWK0hMLYgiYhworMKb/XP3TRZ\njs6HUVPmQKnT2FhRi7yB3TsprqjZhWVcHvXjffuMt0TbqtwIReLwh1f3U7o44ofDZjEl629XXRoh\nmAzlJFAMsBBoZmdtGTqq3StukY0QQuDpiz6c7Kw21I9pNg8fa8b1iRCujW8eEP/V9SkIARaCAmB/\nGiHon1lEid1qyjbGJ3ZUY0Y+f0Jh2OCMIYVb2ypR5rThuZ7xlcdeeXsaQgD37DVeCNJtPndheB4H\nmirgsBk/be6qK4PPv4RwNA5A2rhvcGYxJ/EBgIVAM0SEDxxowGtvz6z4RdNxaTSAgZlFPHysOYe9\n08+HDjfBZqFNrQIhBJ48M4yWyhLc0lj4sY/tjtftQLO3BFdSAsZKoNgMl+SJTikD7i15o8JAOIYL\nw35TVswuuxUfPNCA53omVs4v/tX1adSUOVcsISNpl7ejVmoJYokkun0BHGs1Z/sUJWCsFP/1TS0g\nKYC9DbmpOWIh0MFv39EJi4Xw1y++veE1Pz4/CqfNgvsONeSwZ/qpKnXg7r21ePqiD4kNist+eX0K\n54f9+J27d22J2EcxsDZgPGDgrqNr6awpRW25c6Vi/vunhxCOJvDpk+2mtPeRo00IReJ4qXcaiaTA\nyzemcffeWlhMqMtprXLDaiGclmMgvRMhRGJJHG0z51TBtZlDvStbS5i7x5ACC4EOGjwu/Na72vHj\nC6N4O81GbUvRBH56eRy/tr8eFS57Hnqoj4ePtWAyuIxX3p5e91wyKfCXz/eivdqNf9HVkofeMek4\n2OzBwMwiFpbjGJkLY2QubHgNgUJqnCAaT+J7bwzizl01pu2se8fOalSXOvDMxTFcHJlHYCmGu/fW\nmtKWy27FI7e34onTw+jxBVYCxcdMOl62vVoSnhUhmAzBYbUYcpCQGkwVAiL6F0R0hYiSRNRlZlv5\n4kt370KJ3Yq/euHGTY8LIfAnP+7GfDiKz5i0QjKbe2+pQ7O3BH/yVDfm1lQ9/qx7HNcnQvjX79+j\n+1zarUihjm3FTfJs9zg+/u03Ue6y46Gj5iUpnNhRjYlgBN94qQ+TwWV8/j2dprVls1rw4OFGvHht\nEj+9NA6rhfCeXeYIAQD80X37UFXqxNee6sb5oXlUlzoMz4ZScNqsaKty47mecTxzaQyXR/3YWVdm\naDX4ZpjdSg+AjwF4xeR28kZVqQOff88OPNczgcujq4e//+D0MJ664MPvv283ThToJnOZcNmt+OZv\n3oqZhSi+8uSFFRdRLJHEX/28F/sayvHhw1sjE8oECnJsH2iSjgj9ox9exnI8iSe+cBK7Tcw8OSnH\nCf7ml33YXVeGu/aYNzEDkntoOZ7E/z41hNvaKuFxm2dpe0rs+LMP70e3L4CnL/pwtNVrqgv0t+/s\nRGApjt9/4gJO9c/lLFAMAKbuByCEuAZg2/uPP/+eTnzvzUH8q/99Dh891ox9DeX4j89cxV17avGV\ne3fnu3u6ONzixX986AC+9lQ3/vy5a2itcuOZi2MYnA3jbz/TZYp/ditQqGO7vsKJhgoXkkLg+58/\nYaoIAJJvu6rUgbnFKD7/nk7TP49b2yrRIm83cfc+c0UHAB483IgfnhvFyzemDa8fWMunT7bjk8fb\ncH54Hi/1TuH+g42mtpcKbwxjAOUuO77xqVvxzZfewWOv9CORFGj2luCvf+PotpgoH7m9FeeG5vG3\nrw4AkH78X7t/H36NK4kLDiLCE4+eRLnLhhoDDldX096du2pwqn8WDx01PzOOiPCRI034xkvvmJI2\nmq69//TRg/jdH5zH+w+YnyJttRBu76jC7R253ZOMst1Bc90bEL0IIF1KzJ8IIX4iX/MSgH8jhDi7\nyfs8CuBRAGhra7ttaGhIV7/yxfxiFC/dmMKRFi92mHyqUC6JxBJ45uIYjrV5TV9lmg0RnRNCZPTr\nGzG2t8u43ozAUgxL0YTp5+oqhCIxvN43g/tyuGLeCqgd12lfq1cIVDWiQghS6erqEmfPqrqUYbJG\nzw8mzXu9BJVjm8c1YyZ6xnXxpXswDMMwN2F2+ujDRDQK4F0A/omInjezPYbJFTy2me1ETlxD2UJE\n0wDSOVNrAMzkuDu5ZDvfXyHdW7sQwvyUkzVsMq6Bwvp8jGY73xtQOPeneVwXpBBsBBGdNcq3W4hs\n5/vbzvdmBNv589nO9wZsj/vjGAHDMEyRw0LAMAxT5Gw1IXgs3x0wme18f9v53oxgO38+2/negG1w\nf1sqRsAwDMMYz1azCBiGYRiDYSFgGIYpcraMEBDRfUTUS0R9RPTVfPfHKIiolYh+RURX5f3tv5Lv\nPhkNEVmJ6AIR/SzffSlEeGxvXbbL2N4SQkBEVgBfB3A/gP0APkFE+/PbK8OIA/hDIcR+ACcB/O42\nujeFrwC4lu9OFCI8trc822JsbwkhAHAcQJ8Qol8IEQXwJICH8twnQxBCjAshzsv/DkEaVFvrpPtN\nIKIWAB8C8J1896VA4bG9RdlOY3urCEEzgJGUv0exjQaUAhF1ADgG4K389sRQ/hrAHwFI5rsjBQqP\n7a3LthnbW0UItj1EVAbgRwD+QAgRzHd/jICIHgQwJYQ4l+++MPmDx3bhs1WEwAegNeXvFvmxbQER\n2SH9UL4vhHgq3/0xkDsAfISIBiG5PN5HRP8nv10qOHhsb0221djeEgVlRGQDcAPAvZB+JGcAfFII\ncSWvHTMAkg55/R6AOSHEH+S7P2ZBRHdDOsDlwXz3pZDgsb312Q5je0tYBEKIOIAvA3geUsDpH7bD\nD0XmDgCfhrSiuCj/90C+O8XkBh7bTCGQ0SIgoscBKP6wg2meJwD/HcADAMIA/qWSKUBE98nPWQF8\nRwjx58Z2n2G0w2ObYSTUWATfBXDfJs/fD2C3/N+jAL4JbPv8aGZ78F3w2GaYzEIghHgFwNwmlzwE\n4O+ExCkAXiJqxDbOj2a2Bzy2GUbCiBjBRnnQRZEfzWxreGwzRYEt3x1QIKJHIZnfKC0tvW3fvn15\n7hGzXTl37txMrs4s5nHN5Ao949oIIdgoD9q+weNpEUI8BvmAh66uLnH27FkDusYw6yGijQ6QX4vu\nsc3jmskVWYzrdRjhGnoGwGdI4iSAgBBiHFI+9G4i6iQiB4BH5GsZZqvAY5spCjJaBET0BIC7AdQQ\n0SiAP4O0IoIQ4lsAnoWUXtcHKcXus/JzcSJS8qOtAB7fRvnRzDaAxzbDSGQUAiHEJzI8LwD87gbP\nPQvpx8QwBQePbYaR2BKVxQzDMIx5sBAwDMMUOSwEDMMwRQ4LAcMwTJHDQsAwDFPksBAwDMMUOSwE\nDMMwRQ4LAcMwTJHDQsAwDFPksBAwDMMUOSwEDMMwRQ4LAcMwTJHDQsAwDFPksBAwDMMUOSwEDMMw\nRQ4LAcMwTJGjSgiI6D4i6iWiPiL6aprn/y0RXZT/6yGiBBFVyc8NElG3/Bwf2MoUDDyuGUZCzVGV\nVgBfB/B+AKMAzhDRM0KIq8o1Qoi/BPCX8vUfBvB/CyHmUt7mHiHEjKE9Zxgd8LhmmFXUWATHAfQJ\nIfqFEFEATwJ4aJPrPwHgCSM6xzAmwuOaYWTUCEEzgJGUv0flx9ZBRG4A9wH4UcrDAsCLRHSOiB7V\n2lGGMRge1wwjk9E1lCUfBvD6GvP5TiGEj4jqALxARNeFEK+sfaH8Y3oUANra2gzuFsPogsc1s61R\nYxH4ALSm/N0iP5aOR7DGfBZC+OT/TwH4MSSTfB1CiMeEEF1CiK7a2loV3WIYXfC4ZhgZNUJwBsBu\nIuokIgekH8Uzay8iIg+AuwD8JOWxUiIqV/4N4AMAeozoOMPohMc1w8hkdA0JIeJE9GUAzwOwAnhc\nCHGFiL4oP/8t+dKHAfxcCLGY8vJ6AD8mIqWtHwgh/tnIG2AYLfC4ZphVSAiR7z6so6urS5w9y6nZ\njDkQ0TkhRFeu2+VxzZiJnnHNlcUMwzBFDgsBwzBMkcNCwDAMU+SwEDAMwxQ5LAQMwzBFDgsBwzBM\nkcNCwDAMU+SwEDAMwxQ5LAQMwzBFDgsBwzBMkcNCwDAMU+SwEDAMwxQ5LAQMwzBFDgsBwzBMkcNC\nwDAMU+SwEDAMwxQ5qoSAiO4jol4i6iOir6Z5/m4iChDRRfm/P1X7WobJFzyuGUYi41GVRGQF8HUA\n7wcwCuAMET0jhLi65tJXhRAPanwtw+QUHtcMs4oai+A4gD4hRL8QIgrgSQAPqXx/Pa9lGDPhcc0w\nMmqEoBnASMrfo/Jja3k3EV0moueI6ECWrwURPUpEZ4no7PT0tIpuMYwueFwzjIxRweLzANqEEIcB\n/A2Ap7N9AyHEY0KILiFEV21trUHdYhh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      "text/plain": [
       "<matplotlib.figure.Figure at 0x113cfa278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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kVWpn19ZyPIH5cEyDm01xDWXX3kQwgmgiiapSR1avU0MuhMAHoDXl7xb5sZsQ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\n/A2Ap7N9AyHEY0KILiFEV21trUHdYhh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      "text/plain": [
       "<matplotlib.figure.Figure at 0x113fdf198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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kVWpn19ZyPIH5cEyDm01xDWXX3kQwgmgiiapSR1avU0MuhMAHoDXl7xb5sZsQ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\n/A2Ap7N9AyHEY0KILiFEV21trUHdYhh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      "text/plain": [
       "<matplotlib.figure.Figure at 0x114183fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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kVWpn19ZyPIH5cEyDm01xDWXX3kQwgmgiiapSR1avU0MuhMAHoDXl7xb5sZsQ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\nMAxT5LAQMAzDFDksBAzDMEXO/w9VcnyowYNxMgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113a39208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure, ax = plt.subplots(2,2)\n",
    "ax[0][0].plot(x, y1)\n",
    "ax[0][1].plot(x, y2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
